18828332112 has 160 divisors (see below), whose sum is σ = 52992163840. Its totient is φ = 5738688000.

The previous prime is 18828332101. The next prime is 18828332141. The reversal of 18828332112 is 21123382881.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15294537 + ... + 15295767.

It is an arithmetic number, because the mean of its divisors is an integer number (331201024).

Almost surely, 2^18828332112 is an apocalyptic number.

18828332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18828332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496081920).

18828332112 is an abundant number, since it is smaller than the sum of its proper divisors (34163831728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18828332112 is a wasteful number, since it uses less digits than its factorization.

18828332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1827 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The spelling of 18828332112 in words is "eighteen billion, eight hundred twenty-eight million, three hundred thirty-two thousand, one hundred twelve".